TANIUCHI YASUSHI 谷内靖

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TANIUCHI Yasushi 谷内靖

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Researcher Number	80332675
Other IDs
Affiliation (Current)	2025: 信州大学, 学術研究院理学系, 教授
Affiliation (based on the past Project Information) *help	2014 – 2023: 信州大学, 学術研究院理学系, 教授 2011 – 2013: 信州大学, 理学部, 教授 2009: 信州大, 理学部, 准教授 2007 – 2008: Shinshu University, 理学部, 准教授 2005 – 2006: 信州大学, 理学部, 助教授 2001 – 2004: 信州大学, 理学部, 助手
Review Section/Research Field	Principal Investigator Basic analysis / Basic Section 12020:Mathematical analysis-related / Mathematical analysis Except Principal Investigator Basic analysis / Basic analysis
Keywords	Principal Investigator Navier-Stokes方程式 / 関数方程式 / 流体力学 / 関数方程式論 / 非線形偏微分方程式 / Boussinesq方程式 / Euler方程式 / 流体方程式 / Navier‐Stokes方程式 / 流体 … More / 非圧縮性粘性流体 / 非圧縮性流体 / 熱対流方程式 / 偏微分方程式 … More Except Principal Investigator spin / 母関数 / creation and annihilation operators / quantum electrodynamics / Pauli equation / path integral of the functional / correlation function / partition function / Feynman path integral / 重み付きFeynman経路積分 / Pauli方程 / 汎函数微分 / 量子測定理論 / 生成・消滅演算子 / 量子電磁気学 / Pauli方程式 / スピン / 汎関数経路積分 / 相関関数 / Feynman経路積分 / pseudo differential operators / functional derivative / generating function / Schroedinger equation / path integral / 量子観測理論 / 擬微分作用素 / 汎関数微分 / シュレディンガー方程式 / 経路積分 Less

非圧縮性流体方程式の解の性質に関する調和解析学の応用Principal Investigator
- Principal Investigator
  
  谷内靖
- Project Period (FY)
  2021 – 2025
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  Shinshu University
On regularity and uniqueness of solutions to partial differential equations in Fluid Mechanics and Harmonic AnalysisPrincipal Investigator
- Principal Investigator
  
  Taniuchi Yasushi
- Project Period (FY)
  2016 – 2020
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Mathematical analysis
- Research Institution
  Shinshu University
Uniqueness and regularity of solutions to equations in fluid dynamicsPrincipal Investigator
- Principal Investigator
  
  TANIUCHI Yasushi
- Project Period (FY)
  2011 – 2015
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Shinshu University
流体力学の基礎方程式の解の一意生と解の性質についてPrincipal Investigator
- Principal Investigator
  
  谷内靖
- Project Period (FY)
  2007 – 2010
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Shinshu University
The theory of the pseudo-differential operators and its applications to the theory of the Feynman path integral
- Principal Investigator
  
  ICHINOSE Wataru
- Project Period (FY)
  2004 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Shinshu University
流体力学の基礎方程式に対する調和解析学の応用Principal Investigator
- Principal Investigator
  
  谷内靖
- Project Period (FY)
  2003 – 2005
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Basic analysis
- Research Institution
  Shinshu University
The application of the theory of the pseudo-diffrential operators to the Feynman path integral
- Principal Investigator
  
  ICHINOSE Wataru
- Project Period (FY)
  2001 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Shinshu University

[Journal Article] On uniqueness of mild L^{3,\infty}-solutions on the whole time axis to the Navier?Stokes equations in unbounded domains2023
- Author(s)
  Taniuchi Yasushi
- Journal Title
  
  Mathematische Annalen
  
  Volume: - Issue: 3 Pages: 2561-2594
- DOI
  10.1007/s00208-023-02702-x
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-21K03323
[Journal Article] A remark on the uniqueness of Kozono-Nakao’s mild L^3-solutions on the whole time axis to the Navier-Stokes equations in unbounded domains2021
- Author(s)
  Taniuchi Yasushi
- Journal Title
  
  Partial Differential Equations and Applications
  
  Volume: 2 Issue: 5
- DOI
  10.1007/s42985-021-00121-8
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21K03323
[Journal Article] An alternative proof of logarithmically improved Beale?Kato?Majda type extension criteria for smooth solutions to the Navier?Stokes equations2018
- Author(s)
  Nakao Kohei、Taniuchi Yasushi
- Journal Title
  
  Nonlinear Analysis
  
  Volume: 176 Pages: 48-55
- DOI
  10.1016/j.na.2018.05.018
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K05228
[Journal Article] Brezis-Gallouet-Wainger Type Inequalities and Blow-Up Criteria for Navier-Stokes Equations in Unbounded Domains2018
- Author(s)
  Nakao Kohei、Taniuchi Yasushi
- Journal Title
  
  Communications in Mathematical Physics
  
  Volume: 359 Issue: 3 Pages: 951-973
- DOI
  10.1007/s00220-017-3061-0
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K05228
[Journal Article] Brezis-Gallouet-Wainger type inequalities and blow-up criteria for Navier-Stokes equations in bounded domains2016
- Author(s)
  K. Nakao, Y. Taniuchi
- Journal Title
  
  数理研考究録
  
  Volume: 2009 Pages: 44-52
- Data Source
  KAKENHI-PROJECT-16K05228
[Journal Article] Existence of solutions on the whole time axis to the Navier-Stokes equations with precompact range in L^32015
- Author(s)
  Farwig, Nakatsuka, Taniuchi
- Journal Title
  
  Archiv der Mathematik
  
  Volume: 未定
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-23540194
[Journal Article] Uniqueness of solutions on the whole time axis to the Navier-Stokes equations in unbounded domains2015
- Author(s)
  Reinhard Farwig, Tomoyuki Nakatsuka, Yasushi Taniuchi
- Journal Title
  
  Communications in Partial Differential Equations
  
  Volume: 40 Issue: 10 Pages: 1884-1904
- DOI
  10.1080/03605302.2015.1054938
- Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23540194
[Journal Article] Uniqueness of solutions bounded on the whole time axis to the Navier-Stokes equations2014
- Author(s)
  Y. Taniuchi
- Journal Title
  
  RIMS講究録
  
  Volume: No.1883 Pages: 33-48
- Data Source
  KAKENHI-PROJECT-23540194
[Journal Article] Uniqueness of backward asymptotically almost periodic-in-time solutions to Navier-Stokes equations in unbounded domains2013
- Author(s)
  R. Farwig, Y. Taniuchi
- Journal Title
  
  Discrete and Continuous Dynamical Systems - Series S
  
  Volume: 6 Pages: 1215-1224
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540194
[Journal Article] Uniqueness of almost periodic-in-time solutions to Navier-Stokes equations in unbounded domains2011
- Author(s)
  R. Farwig, Y. Taniuchi
- Journal Title
  
  J. Evol. Equ.
  
  Volume: 11 Pages: 485-508
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540194
[Journal Article] On the uniqueness of time-periodic solutions to the Navier-Stokes equations in unbounded domains2009
- Author(s)
  Taniuchi, Y.
- Journal Title
  
  Mathematische Zeitschrift 261
  
  Pages: 597-615
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540174
[Journal Article] A Remark on L^{\infty} Solutions to the 2-D Navier-Stokes Equations2007
- Author(s)
  O. Sawada, Y. Taniuchi
- Journal Title
  
  I. math. Fluid mech. 9
  
  Pages: 533-542
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540174
[Journal Article] Remarks on global solvability of 2-D Boussinesq equations with non-decaying initial data2006
- Author(s)
  Yasushi Taniuchi
- Journal Title
  
  Funkcialaj Ekvacioj 49(1)(印刷中)
- NAID
  130000140659
- Data Source
  KAKENHI-PROJECT-15740084
[Journal Article] Remarks of global solvability of 2-D Boussinesq equations with non-decaying initial data2005
- Author(s)
  Y.Taniuchi
- Journal Title
  
  Fankcialaj Ekvacioj (掲載予定)
- NAID
  130000140659
- Data Source
  KAKENHI-PROJECT-15740084
[Journal Article] The limiting uniqueness criterion by vorticity for Navier-Stokes equations2004
- Author(s)
  T.Ogawa, Y.Taniuchi
- Journal Title
  
  Tohoku Math.J. 56(1)
  
  Pages: 65-77
- Data Source
  KAKENHI-PROJECT-15740084
[Journal Article] Uniformly local L^p estimate for 2-D vorticity equation and its application for Euler equations with initial vorticityin bmo2004
- Author(s)
  Y.Taniuchi
- Journal Title
  
  Commun.Math.Phys. 248(1)
  
  Pages: 169-186
- Data Source
  KAKENHI-PROJECT-15740084
[Journal Article] Uniformly local $Lsp p$ estimate for 2-D vorticity equation and its application to Euler equations with initial vorticity in bmo2004
- Author(s)
  Y.Taniuchi
- Journal Title
  
  Comm.Math.Phys. 248 no.1
  
  Pages: 169-186
- Data Source
  KAKENHI-PROJECT-16540145
[Journal Article] On Boussinesq flow with nondecaying initial data2004
- Author(s)
  O.Sawada, Y.Taniuchi
- Journal Title
  
  Fankcialaj Ekvacioj 47(2)
  
  Pages: 225-250
- NAID
  130000141160
- Data Source
  KAKENHI-PROJECT-15740084
[Journal Article] A remark on L∞ solutions to the 2-D Navier-Stokes equations
- Author(s)
  O.Sawada, Y.Taniuchi
- Journal Title
  
  J.Math.Fluid Mech. (印刷中)
- Data Source
  KAKENHI-PROJECT-15740084
[Presentation] On uniqueness of mild L_{3,\infty}-solutions on the whole time axis to the Navier-Stokes equations in unbounded domains2023
- Author(s)
  Yasushi Taniuchi
- Organizer
  Critical Phenomena in Nonlinear Partial Differential Equations, Harmonic Analysis, and Functional Inequalities
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-21K03323
[Presentation] On uniqueness of mild L^{3,\infty}-solutions on the whole time axis to the Navier-Stokes equations in unbounded domains2022
- Author(s)
  Yasushi Taniuchi
- Organizer
  International Workshop on Multi‐Phase Flows: Analysis, Modelling and Numerics
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-21K03323
[Presentation] On uniqueness of mild solutions on the whole time axis to the Boussinessq equations in unbounded domains2021
- Author(s)
  Yasushi Taniuchi
- Organizer
  非圧縮性粘性流体の数理解析
- Invited
- Data Source
  KAKENHI-PROJECT-16K05228
[Presentation] Some logarithmic inequalities and the Navier-Stokes equations2020
- Author(s)
  Taniuchi, Y.
- Organizer
  松山解析セミナー2020
- Invited
- Data Source
  KAKENHI-PROJECT-16K05228
[Presentation] Some logarithmic inequalities and the Navier-Stokes equations2020
- Author(s)
  Taniuchi, Y.
- Organizer
  第21回北東数学解析研究会
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05228
[Presentation] Some logarithmic inequalities and the Navier-Stokes equations2019
- Author(s)
  Taniuchi, Y.
- Organizer
  Maximal regularity and nonlinear PDE
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05228
[Presentation] Brezis-Gallouet-Wainger type inequality and its application to the Navier-Stokes equations2017
- Author(s)
  Y. Taniuchi
- Organizer
  保存則をもつ偏微分方程式に対する解の正則性,特異性および漸近挙動の研究
- Invited
- Data Source
  KAKENHI-PROJECT-16K05228
[Presentation] Brezis-Gallouet-Wainger type inequality and its application to Navier-Stokes equations in unbounded domains2017
- Author(s)
  Y. Taniuchi
- Organizer
  VORTICITY, ROTATION AND SYMMETRY (IV) - Complex Fluids and the Issue of Regularity
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05228
[Presentation] Brezis-Gallouet-Wainger type inequality and its application to Navier-Stokes equations in unbounded domains2016
- Author(s)
  Y. Taniuchi
- Organizer
  第六回弘前非線形方程式研究会
- Place of Presentation
  弘前大学創立50周年記念会会館　岩木ホール
- Year and Date
  2016-12-23
- Invited
- Data Source
  KAKENHI-PROJECT-16K05228
[Presentation] Brezis-Gallouet-Wainger type inequalities and blow-up criteria for Navier-Stokes equations in unbounded domains2016
- Author(s)
  Y. Taniuchi
- Organizer
  New trends in Partial Differential Equations
- Place of Presentation
  the Centro De Giorgi in Pisa、イタリア
- Year and Date
  2016-10-06
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05228
[Presentation] Brezis-Gallouet-Wainger type inequalities and blow-up criteria for Navier-Stokes equations in bounded domains2015
- Author(s)
  Yasushi Taniuchi
- Organizer
  非圧縮性流体の数理解析
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2015-11-17
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23540194
[Presentation] Uniqueness of solutions to NS eq.]{Uniqueness of solutions bounded on whole time axis to the Navier-Stokes equations in unbounded domains2014
- Author(s)
  Yasushi TANIUCHI
- Organizer
  研究集会「Vorticity, Rotation and Symmetry (III)」
- Place of Presentation
  CIRM in Luminy (Marseille, France)
- Year and Date
  2014-05-06
- Invited
- Data Source
  KAKENHI-PROJECT-23540194
[Presentation] Uniqueness of solutions to NS eq.]{Uniqueness of solutions bounded on whole time axis to the Navier-Stokes equations in unbounded domains2014
- Author(s)
  Yasushi TANIUCHI
- Organizer
  研究集会「The 10th AIMS Conference on Dynamical Systems Differential Equations and Applications」
- Place of Presentation
  Unversidad Autonoma de Madrid (Spain)
- Year and Date
  2014-07-10
- Invited
- Data Source
  KAKENHI-PROJECT-23540194
[Presentation] Uniqueness of mild solutions to Navier-Stokes equations in unbounded domains2013
- Author(s)
  Y. Taniuchi
- Organizer
  The 8th Japanese-German International Workshop on Mathematical Fluid Dynamics
- Place of Presentation
  早稲田大学
- Invited
- Data Source
  KAKENHI-PROJECT-23540194
[Presentation] Uniqueness of solutions bounded on the whole time axis to the Navier-Stokes equations in unbounded domains2013
- Author(s)
  Y. Taniuchi
- Organizer
  流体と気体の数学解析
- Place of Presentation
  京都大学数理解析研究所
- Invited
- Data Source
  KAKENHI-PROJECT-23540194
[Presentation] Uniqueness of backward asymptotically almost periodic-in-time solutions to Navier-Stokes equations in unbounded domains2013
- Author(s)
  Y.Taniuchi
- Organizer
  International Conference on the Mathematical Fluid Dynamics on the occasion of Professor Yoshihiro Shibata's 60th birthday
- Place of Presentation
  ホテル日航奈良
- Invited
- Data Source
  KAKENHI-PROJECT-23540194
[Presentation] Backward asymptotically almost periodic-in-time solutions to Navier-Stokes equations in unbounded domains2012
- Author(s)
  Y.Taniuchi
- Organizer
  若手による流体力学の基礎方程式研究集会(招待講演)
- Place of Presentation
  名古屋大学大学院多元数理科学研究科
- Data Source
  KAKENHI-PROJECT-23540194
[Presentation] Uniqueness of backward asymptotically almost periodic-in-time solutions to Navier-Stokes equations in unbounded domains2012
- Author(s)
  Y. Taniuchi
- Organizer
  International Workshop on PDE "Nonlinear Dispersive Equations and Fluid Mechanics" -Well-posedness and Smoothing Effect-"
- Place of Presentation
  東北大学
- Invited
- Data Source
  KAKENHI-PROJECT-23540194
[Presentation] Almost periodic-in-time solutions to the Navier-Stokes equations in unbounded domains2012
- Author(s)
  Y. Taniuchi
- Organizer
  研究集会「第４回若手による流体セミナー」
- Place of Presentation
  富山大学
- Invited
- Data Source
  KAKENHI-PROJECT-23540194
[Presentation] Backward asymptotically almost periodic-in-time solutions to Navier-Stokes equations in unbounded domains2012
- Author(s)
  Y.Taniuchi
- Organizer
  非線形偏微分方程式研究集会(招待講演)
- Place of Presentation
  福岡ガーデンパレス
- Data Source
  KAKENHI-PROJECT-23540194
[Presentation] Uniqueness of almost periodic-in-time solution to Navier-Stokes equations in unbounded domains2011
- Author(s)
  Y. Taniuchi
- Organizer
  The 4th MSJ-SI, Nonlinear dynamics in partial differential equations(招待講演)
- Place of Presentation
  九州大学医学部百年記念講堂
- Data Source
  KAKENHI-PROJECT-23540194
[Presentation] Uniqueness of almost periodic-in-time solutions to Navier-Stokes equations in unbounded domains2011
- Author(s)
  Y. Taniuchi
- Organizer
  VORTICITY, ROTATION AND SYMMETRY (II) - REGULARITY OF FLUID MOTION(招待講演)
- Place of Presentation
  Centre International de Rencontres Mathematiques (CIRM) in Luminy (Marseille, France)
- Data Source
  KAKENHI-PROJECT-23540194

1. ICHINOSE Wataru (80144690)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
2. MORIMOTO Yoshinori (30115646)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
3. HIROKAWA Masao (70282788)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
4. HIROSHIMA Fumio (00330358)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
5. KUMANO-GO Naoto (40296778)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
6. OTOBE Yoshiki (30334882)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

TANIUCHI YASUSHI 谷内 靖

TANIUCHI Yasushi 谷内 靖

Research Projects

Research Products

Co-Researchers

非圧縮性流体方程式の解の性質に関する調和解析学の応用Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

On regularity and uniqueness of solutions to partial differential equations in Fluid Mechanics and Harmonic AnalysisPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Uniqueness and regularity of solutions to equations in fluid dynamicsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

流体力学の基礎方程式の解の一意生と解の性質についてPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

The theory of the pseudo-differential operators and its applications to the theory of the Feynman path integral

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

流体力学の基礎方程式に対する調和解析学の応用Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

The application of the theory of the pseudo-diffrential operators to the Feynman path integral

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] On uniqueness of mild L^{3,\infty}-solutions on the whole time axis to the Navier?Stokes equations in unbounded domains2023

Author(s)

Journal Title

DOI

Data Source

[Journal Article] A remark on the uniqueness of Kozono-Nakao’s mild L^3-solutions on the whole time axis to the Navier-Stokes equations in unbounded domains2021

Author(s)

Journal Title

DOI

Data Source

[Journal Article] An alternative proof of logarithmically improved Beale?Kato?Majda type extension criteria for smooth solutions to the Navier?Stokes equations2018

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Brezis-Gallouet-Wainger Type Inequalities and Blow-Up Criteria for Navier-Stokes Equations in Unbounded Domains2018

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Brezis-Gallouet-Wainger type inequalities and blow-up criteria for Navier-Stokes equations in bounded domains2016

Author(s)

Journal Title

Data Source

[Journal Article] Existence of solutions on the whole time axis to the Navier-Stokes equations with precompact range in L^32015

Author(s)

Journal Title

Data Source

[Journal Article] Uniqueness of solutions on the whole time axis to the Navier-Stokes equations in unbounded domains2015

Author(s)

Journal Title

DOI

Data Source

TANIUCHI YASUSHI 谷内靖

TANIUCHI Yasushi 谷内靖